Vector Bundles on Products of Varieties with $n$-blocks Collections
| dc.creator | Ballico, Edoardo | |
| dc.creator | Malaspina, Francesco | |
| dc.date | 2008-04-01 | |
| dc.date.accessioned | 2026-07-07T09:29:39Z | |
| dc.date.available | 2026-07-07T09:29:39Z | |
| dc.description | Here we consider the product of varieties with $n$-blocks collections . We give some cohomological splitting conditions for rank 2 bundles. A cohomological characterization for vector bundles is also provided. The tools are Beilinson's type spectral sequences generalized by Costa and Miró-Roig. Moreover we introduce a notion of Castelnuovo-Mumford regularity on a product of finitely many projective spaces and smooth quadric hypersurfaces in order to prove two splitting criteria for vector bundle with arbitrary rank. | |
| dc.description | 15 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0804.0100 | |
| dc.identifier | http://arxiv.org/abs/0804.0100 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157861 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05, 14J60 | |
| dc.title | Vector Bundles on Products of Varieties with $n$-blocks Collections | |
| dc.type | text |